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Finding the Third Proportional to 183,694 and 259,998

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Solution

The third proportional to 183,694 and 259,998 is: 367,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,694 : 259,998 = 259,998 : x
  2. Step 2: Convert to fraction form
    183,694/259,998 = 259,998/x
  3. Step 3: Cross multiply
    183,694x = 259,998 × 259,998
  4. Step 4: Simplify right side
    183,694x = 67,598,960,004
  5. Step 5: Solve for x
    x = 67,598,960,004/183,694
  6. Step 6: Final answer
    x = 367,997.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.